What is the Greatest Common Factor of 83076 and 83090?

Greatest common factor (GCF) of 83076 and 83090 is 14.

GCF(83076,83090) = 14

We will now calculate the prime factors of 83076 and 83090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83076 and 83090.

How to find the GCF of 83076 and 83090?

We will first find the prime factorization of 83076 and 83090. After we will calculate the factors of 83076 and 83090 and find the biggest common factor number .

Step-1: Prime Factorization of 83076

Prime factors of 83076 are 2, 3, 7, 23, 43. Prime factorization of 83076 in exponential form is:

83076 = 2² × 3¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 83090

Prime factors of 83090 are 2, 5, 7, 1187. Prime factorization of 83090 in exponential form is:

83090 = 2¹ × 5¹ × 7¹ × 1187¹

Step-3: Factors of 83076

List of positive integer factors of 83076 that divides 83076 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 43, 46, 69, 84, 86, 92, 129, 138, 161, 172, 258, 276, 301, 322, 483, 516, 602, 644, 903, 966, 989, 1204, 1806, 1932, 1978, 2967, 3612, 3956, 5934, 6923, 11868, 13846, 20769, 27692, 41538

Step-4: Factors of 83090

List of positive integer factors of 83090 that divides 83076 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1187, 2374, 5935, 8309, 11870, 16618, 41545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83076 and 83090. The biggest common factor number is the GCF number.
So the greatest common factor 83076 and 83090 is 14.

Also check out the Least Common Multiple of 83076 and 83090